Section: STEM · MathematicsDifficulty: Easy

Probability

USUK

The measure of the likelihood that a given event will occur, between 0 and 1.

Definition

Probability is the branch of mathematics that quantifies the likelihood of events, expressed as a number between 0 (impossible) and 1 (certain). It is governed by axioms including non-negativity, normalization, and additivity. Probability theory forms the foundation of statistics, risk analysis, machine learning, and quantum mechanics, and it comes in frequentist and Bayesian interpretations.

Example

Insurance companies use probability to estimate the likelihood of car accidents among different driver demographics, setting premiums so that collected premiums collectively cover expected payouts and operating costs.

Synonyms

  • likelihood
  • chance
  • statistical probability
  • odds

Antonyms / Opposites

  • certainty
  • impossibility

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